## Wave Sensing, Undersampling

Wavefield retrieval, manifold learning and data reduction Wavefield retrieval from surface array data There have been extensive efforts in developing data regularization strategies and...## Wave Packets: Nonlinear Approximation, Compression, Sparse Sampling

Multi-scale physics of seismic waves In building a detailed understanding of the propagation and scattering of waves, that is, their interaction with complex media...## Extended Isochron Rays

Microlocal analysis of seismic body waves and linearized inverse problems – Imaging A separated scale representation of variations in medium properties leads to the...## Downward Continuation Based Extended Imaging

Microlocal analysis of seismic body waves and linearized inverse problems – Imaging A separated scale representation of variations in medium properties leads to the...## Thermal Anomaly, Transition Zone, Hawaii

Microlocal analysis of seismic body waves and linearized inverse problems – Imaging A separated scale representation of variations in medium properties leads to the...## Core-Mantle Boundary, Post-Perovskite Phase Transition and D”

Microlocal analysis of seismic body waves and linearized inverse problems – Imaging A separated scale representation of variations in medium properties leads to the...## Scattering, Random Media and Interferometry

Multi-scale physics of seismic waves In building a detailed understanding of the propagation and scattering of waves, that is, their interaction with complex media...## Anisotropic surface-wave tomography – Tibetan plateau

Free oscillations, surface waves and spectral theory I revisited the construction and analysis of the relevant system of elasto-gravitational equations describing the free oscillations...## Carbonite Rock and Fracture

Fast algorithms, massively parallel computing Direct structured solvers and time-harmonic waves In the invere boundary value problem, to probe the Dirichlet-to-Neumann map, one needs...## Discontinuous Galerkin Method: Rough surface of a carbonate rock sample.

Fast algorithms, massively parallel computing Direct structured solvers and time-harmonic waves In the invere boundary value problem, to probe the Dirichlet-to-Neumann map, one needs...Scattering, Imaging and Inverse Problems; Theoretical and Computational Seismology

Main Fields

- Inverse problems and microlocal analysis, and applications in exploration seismology and global seismology, coupled to geodynamics
- Multi-dimensional imaging, inverse scattering and tomography
- Nonlinear inverse boundary value problems: direct and iterative reconstruction; geometric inverse problems
- Development of multiscale methods and nonlinear theories of generalized functions applied to scattering and inverse scattering in media of low regularity, highly discontinuous and random media
- Structured matrix based methods, and massively parallel algorithms
- Journey to the Center of the Earth »

Recent Publications

**Inverse boundary value problem for the Helmholtz equation: Quantitative conditional Lipschitz stability estimates**, SIAM J. Math. Anal. (2016) in print, with E. Beretta, F. Faucher and O. Scherzer. View »**Lipschitz stability for the electrostatic inverse boundary value problem with piecewise linear conductivities**, J. Math. Pures Appl. (2016) in print, with G. Alessandrini, R. Gaburro and E. Sincich. View »**Uniqueness for a seismic inverse source problem modeling a subsonic rupture**, Comm. Partial Differential Equations (2016) in print, with L. Oksanen and J. Tittelfitz. View »

Maarten V. De Hoop

**Simons Chair in Computational and Applied Mathematics and Earth Science**-
Rice University

2035 Duncan Hall

713-348-5723

mdehoop@rice.edu

Geo-Mathematical Imaging Group

Energy and Environment Initiative

News

- 1/18/2017

MATH+X Symposium on Seismology and Inverse Problems -
9/1/2016

POST-DOC Position Opening -
9/1/2016

PHD Student Opening -
5/1/2015

Maarten de Hoop joins CAAM faculty - All News »

| Rice University | CAAM | Inverse Problems | Wave Motion | SIAM J. Appl. Math. | ACHA | Comm. PDE | CPAM |

Geophysics | GJI | Geoph. Prosp. | Phys. Rev. Lett. | mathSciNet | ArXiv | GeoRef | curvelet.org |